Least Common Multiple of 3202 and 3207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3202 and 3207 the smallest integer that is 10268814 that is divisible by both numbers.

Least Common Multiple (LCM) of 3202 and 3207 is 10268814.

LCM(3202,3207) = 10268814

LCM of 3202 and 3207

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3202 and 3207

LCM of 3202 and 3207 is 10268814

Least common multiple can be found by multiplying the highest exponent prime factors of 3202 and 3207. First we will calculate the prime factors of 3202 and 3207.

Prime Factorization of 3202


2 3202
1601 1601
1

Prime factors of 3202 are 2,1601. Prime factorization of 3202 in exponential form is:

3202 = 21×16011

Prime Factorization of 3207


3 3207
1069 1069
1

Prime factors of 3207 are 3,1069. Prime factorization of 3207 in exponential form is:

3207 = 31×10691

Now multiplying the highest exponent prime factors to calculate the LCM of 3202 and 3207.

LCM(3202,3207) = 21×31×10691×16011
LCM(3202,3207) = 10268814

Factors of 3202

List of positive integer factors of 3202 that divides 3202 without a remainder.

1, 2, 1601, 3202

Factors of 3207

List of positive integer factors of 3207 that divides 3207 without a remainder.

1, 3, 1069, 3207

Least Common Multiple of 3202 and 3207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3202 and 3207, than apply into the LCM equation.

GCF(3202,3207) = 1
LCM(3202,3207) = ( 3202 × 3207) / 1
LCM(3202,3207) = 10268814 / 1
LCM(3202,3207) = 10268814

Properties of LCM 3202 and 3207

(i) The LCM of 3207 and 3202 is associative

LCM of 3202 and 3207 = LCM of 3207 and 3202

Related Least Common Multiples of 3202

Related Least Common Multiples of 3207

Frequently Asked Questions on LCM of 3202 and 3207

1. What is the LCM of 3202 and 3207?

Answer: LCM of 3202 and 3207 is 10268814.

2. What are the Factors of 3202?

Answer: Factors of 3202 are 1, 2, 1601, 3202. There are 4 integers that are factors of 3202. The greatest factor of 3202 is 3202.

3. What are the Factors of 3207?

Answer: Factors of 3207 are 1, 3, 1069, 3207. There are 4 integers that are factors of 3207. The greatest factor of 3207 is 3207.

4. How to Find the LCM of 3202 and 3207?

Answer:

Least Common Multiple of 3202 and 3207 = 10268814

Step 1: Find the prime factorization of 3202

3202 = 2 x 1601

Step 2: Find the prime factorization of 3207

3207 = 3 x 1069

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 10268814 = 2 x 3 x 1069 x 1601

Step 4: Therefore, the least common multiple of 3202 and 3207 is 10268814.